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Finding the Third Proportional to 357,414 and 555,724

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Solution

The third proportional to 357,414 and 555,724 is: 864,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,414 : 555,724 = 555,724 : x
  2. Step 2: Convert to fraction form
    357,414/555,724 = 555,724/x
  3. Step 3: Cross multiply
    357,414x = 555,724 × 555,724
  4. Step 4: Simplify right side
    357,414x = 308,829,164,176
  5. Step 5: Solve for x
    x = 308,829,164,176/357,414
  6. Step 6: Final answer
    x = 864,065.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.